Question

A fire truck has a ladder that can extend to 60 feet in length. the ladder can be safely raised to a maximum angle of 75o with the horizontal. disregarding the height of the fire truck itself, which is closest to the maximum height that the ladder can safely reach?

Answer 1

see the attached figure to better understand the problem

we know that
in the right triangle ABC

sin 75°=BC/AB-------> BC=AB*sin 75°----> BC=60*sin 75°----> BC=57.96 ft

the answer is
57.96 ft